Give a direct proof that the sum an even integer and an odd integer is odd.

Question

Alani Holland

Mathematics

12 October, 12:31

Give a direct proof that the sum an even integer and an odd integer is odd.

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Answers (1)

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Abigayle Reese · Answer 1

Even integer: 2 x a, where a is a natural number without 0;

Odd integer : 2 x b + 1, where b is a natural number;

So, 2 x a + 2 x b + 1 = 2 x (a + b) + 1, which is an odd integer.